Question
A point moves on the curve $y=x^{2} .$ How fast is $y$ changing when $x=-2$ and $x$ is decreasing at a rate of $3 ?$
Step 1
This is done using the power rule for differentiation, which states that the derivative of $x^n$ is $nx^{n-1}$. Applying this rule to our function gives us: \[y' = 2x\] Show more…
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